@Article{FernándezPardo2026, author = "Fernández-Pardo, Laura M. and Rodríguez-López, Jorge", title = "On a fixed point theorem for operator systems and eigenvalue criteria for existence of positive solutions", journal = "Opuscula Math.", year = "2026", volume = "46", number = "2", pages = "219--234", doi = "https://doi.org/10.7494/OpMath.202602271", url = "https://doi.org/10.7494/OpMath.202602271", abstract = "We provide an alternative approach, based on the Leray-Schauder fixed point index in cones, to a fixed point theorem for operator systems due to Precup. Our focus is on the case of operators whose components are entirely of compressive type. The abstract technique is applied to a system of second-order differential equations providing a coexistence positive solution by means of an eigenvalue type criterion.", keywords = "coexistence fixed point, fixed point index, positive solution, nonlinear systems", issn = "1232-9274" }